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Finding the Fourth Proportional to 323,846,268.94, 485,769,022.71 and 105,496,253.74

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Solution

The fourth proportional to 323,846,268.94, 485,769,022.71 and 105,496,253.74 is: 158,244,256.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,846,268.94 : 485,769,022.71 = 105,496,253.74 : x
  2. Step 2: Convert to fraction form
    323,846,268.94/485,769,022.71 = 105,496,253.74/x
  3. Step 3: Cross multiply
    323,846,268.94x = 485,769,022.71 × 105,496,253.74
  4. Step 4: Simplify right side
    323,846,268.94x = 51,246,812,078,845,976
  5. Step 5: Solve for x
    x = 51,246,812,078,845,976/323,846,268.94
  6. Step 6: Final answer
    x = 158,244,256.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.